Matches in SemOpenAlex for { <https://semopenalex.org/work/W1990362806> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W1990362806 endingPage "A1830" @default.
- W1990362806 startingPage "A1813" @default.
- W1990362806 abstract "In this paper we discuss discrete conservation laws for diffusion equations over triangular surface meshes from the viewpoint of duality. Conservation laws are very important for us to model physical phenomenon on curved spaces. The key idea of our method is to use the concept of local dual meshes, which are determined by the centroid points of the triangles in the original meshes. The Green formula will provide us a natural way to give a discrete approximation of the Laplace--Beltrami operators on functions over curved regular surfaces. Then, we shall show that discrete conservation laws are fulfilled on the dual meshes for our algorithm. Moreover, our discrete Laplace--Beltrami operators have the local property: it only involves the information on the 1-ring of neighboring vertices. Note that this approach is quite different from the finite element/difference method, used very often in the filed of numerical analysis. Some convergence problems will also be discussed. Numerical simulations are given to support theses results." @default.
- W1990362806 created "2016-06-24" @default.
- W1990362806 creator A5061485969 @default.
- W1990362806 creator A5088269148 @default.
- W1990362806 date "2014-01-01" @default.
- W1990362806 modified "2023-10-01" @default.
- W1990362806 title "Discrete Conservation Laws on Curved Surfaces II: A Dual Approach" @default.
- W1990362806 cites W1965552352 @default.
- W1990362806 cites W1980661496 @default.
- W1990362806 cites W1986523793 @default.
- W1990362806 cites W1996781089 @default.
- W1990362806 cites W2004509220 @default.
- W1990362806 cites W2009262561 @default.
- W1990362806 cites W2024394198 @default.
- W1990362806 cites W2041968314 @default.
- W1990362806 cites W2052607455 @default.
- W1990362806 cites W2054414694 @default.
- W1990362806 cites W2089973861 @default.
- W1990362806 cites W2094268186 @default.
- W1990362806 cites W2097859264 @default.
- W1990362806 cites W2105622172 @default.
- W1990362806 cites W2111377429 @default.
- W1990362806 cites W2123378618 @default.
- W1990362806 cites W2135073078 @default.
- W1990362806 cites W2135138099 @default.
- W1990362806 cites W2998496342 @default.
- W1990362806 cites W2998752808 @default.
- W1990362806 doi "https://doi.org/10.1137/130921805" @default.
- W1990362806 hasPublicationYear "2014" @default.
- W1990362806 type Work @default.
- W1990362806 sameAs 1990362806 @default.
- W1990362806 citedByCount "13" @default.
- W1990362806 countsByYear W19903628062016 @default.
- W1990362806 countsByYear W19903628062017 @default.
- W1990362806 countsByYear W19903628062018 @default.
- W1990362806 countsByYear W19903628062019 @default.
- W1990362806 countsByYear W19903628062020 @default.
- W1990362806 countsByYear W19903628062021 @default.
- W1990362806 countsByYear W19903628062022 @default.
- W1990362806 countsByYear W19903628062023 @default.
- W1990362806 crossrefType "journal-article" @default.
- W1990362806 hasAuthorship W1990362806A5061485969 @default.
- W1990362806 hasAuthorship W1990362806A5088269148 @default.
- W1990362806 hasConcept C121332964 @default.
- W1990362806 hasConcept C124952713 @default.
- W1990362806 hasConcept C134306372 @default.
- W1990362806 hasConcept C135628077 @default.
- W1990362806 hasConcept C142362112 @default.
- W1990362806 hasConcept C162324750 @default.
- W1990362806 hasConcept C202444582 @default.
- W1990362806 hasConcept C2524010 @default.
- W1990362806 hasConcept C2777303404 @default.
- W1990362806 hasConcept C2778023678 @default.
- W1990362806 hasConcept C2780980858 @default.
- W1990362806 hasConcept C28826006 @default.
- W1990362806 hasConcept C31487907 @default.
- W1990362806 hasConcept C33923547 @default.
- W1990362806 hasConcept C3445786 @default.
- W1990362806 hasConcept C50522688 @default.
- W1990362806 hasConcept C97355855 @default.
- W1990362806 hasConceptScore W1990362806C121332964 @default.
- W1990362806 hasConceptScore W1990362806C124952713 @default.
- W1990362806 hasConceptScore W1990362806C134306372 @default.
- W1990362806 hasConceptScore W1990362806C135628077 @default.
- W1990362806 hasConceptScore W1990362806C142362112 @default.
- W1990362806 hasConceptScore W1990362806C162324750 @default.
- W1990362806 hasConceptScore W1990362806C202444582 @default.
- W1990362806 hasConceptScore W1990362806C2524010 @default.
- W1990362806 hasConceptScore W1990362806C2777303404 @default.
- W1990362806 hasConceptScore W1990362806C2778023678 @default.
- W1990362806 hasConceptScore W1990362806C2780980858 @default.
- W1990362806 hasConceptScore W1990362806C28826006 @default.
- W1990362806 hasConceptScore W1990362806C31487907 @default.
- W1990362806 hasConceptScore W1990362806C33923547 @default.
- W1990362806 hasConceptScore W1990362806C3445786 @default.
- W1990362806 hasConceptScore W1990362806C50522688 @default.
- W1990362806 hasConceptScore W1990362806C97355855 @default.
- W1990362806 hasIssue "4" @default.
- W1990362806 hasLocation W19903628061 @default.
- W1990362806 hasOpenAccess W1990362806 @default.
- W1990362806 hasPrimaryLocation W19903628061 @default.
- W1990362806 hasRelatedWork W137108797 @default.
- W1990362806 hasRelatedWork W1987597427 @default.
- W1990362806 hasRelatedWork W1990508873 @default.
- W1990362806 hasRelatedWork W2091965637 @default.
- W1990362806 hasRelatedWork W2125409257 @default.
- W1990362806 hasRelatedWork W2361126117 @default.
- W1990362806 hasRelatedWork W2376992165 @default.
- W1990362806 hasRelatedWork W2990970471 @default.
- W1990362806 hasRelatedWork W3016132316 @default.
- W1990362806 hasRelatedWork W4327546956 @default.
- W1990362806 hasVolume "36" @default.
- W1990362806 isParatext "false" @default.
- W1990362806 isRetracted "false" @default.
- W1990362806 magId "1990362806" @default.
- W1990362806 workType "article" @default.